On two boundary value problems for elliptic equations in the plane for the case in which the Lopatinskii condition is violated

1992 ◽  
Vol 33 (2) ◽  
pp. 233-238
Author(s):  
V. M. Dadiomov
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Boundary Value

Linear second order elliptic equations with Venttsel boundary conditions

1991 ◽  
Vol 118 (3-4) ◽  
pp. 193-207 ◽  
Author(s):  
Yousong Luo ◽  
Neil S. Trudinger
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Existence Result ◽  
Boundary Value ◽  
Second Order ◽  
Classical Solutions ◽  
Schauder Estimate ◽  
Second Order Elliptic Equations

SynopsisWe prove a Schauder estimate for solutions of linear second order elliptic equations with linear Venttsel boundary conditions, and establish an existence result for classical solutions for such boundary value problems.

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